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Finding the Fourth Proportional to 226.44, 311.94 and 212.52

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Solution

The fourth proportional to 226.44, 311.94 and 212.52 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.44 : 311.94 = 212.52 : x
  2. Step 2: Convert to fraction form
    226.44/311.94 = 212.52/x
  3. Step 3: Cross multiply
    226.44x = 311.94 × 212.52
  4. Step 4: Simplify right side
    226.44x = 66,293.49
  5. Step 5: Solve for x
    x = 66,293.49/226.44
  6. Step 6: Final answer
    x = 292.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.